Question

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Two positive numbers differ by 5 and the sum of their squares is 193 . find the two numbers

Answer 1

Step-by-step explanation:

x=5+y

divide everything by 4

(y+9)(y-4)=0

y=-9 y=4 Problem said 2 POSITIVE numbers, so y=-9 won't work.

Which means y=4 is one of the numbers, since we said x-y=5 then x-4=5 so you add 4 to each side and you get x=9

so the numbers are 9 and 4

Answer 2

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